Boundedness in a quasilinear fully parabolic two-species chemotaxis system of higher dimension

摘要

This paper considers the following coupled chemotaxis system: { u t = ∇ ⋅ ( ϕ ( u ) ∇ u ) − χ 1 ∇ ⋅ ( u ∇ w ) + μ 1 u ( 1 − u − a 1 v ) , v t = ∇ ⋅ ( ψ ( v ) ∇ v ) − χ 2 ∇ ⋅ ( v ∇ w ) + μ 2 v ( 1 − a 2 u − v ) , w t = Δ w − γ w + α u